JEE MATHEMATICS MCQ: FUNCTIONS

Option C ($2^{8}$) is correct because the total number of reflexive relations on a set with $n$ elements is $2^{n(n-1)}$, and for a set with 4 elements, this is $2^{4(4-1)} = 2^{12}$. However, the explanation provided in the original answer is incorrect. The correct number of reflexive relations is $2^{n^2 - n} = 2^{4^2 - 4} = 2^{12}$. The provided answer $2^4$ is incorrect.